%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+42 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:14:13 PM UTC 2026
% Result : Theorem 46.28s 16.52s
% Output : CNFRefutation 46.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 99 ( 20 unt; 13 def)
% Number of atoms : 661 ( 0 equ)
% Maximal formula atoms : 198 ( 6 avg)
% Number of connectives : 866 ( 304 ~; 273 |; 273 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 198 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 39 ( 38 usr; 14 prp; 0-7 aty)
% Number of functors : 58 ( 58 usr; 53 con; 0-3 aty)
% Number of variables : 232 ( 202 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f160,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,axiom,
! [X0,X1,X2] :
( ( subs(X0,hei__337en_1_1)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg2(X3,X4)
& arg1(X3,X0) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(leute_1_1,varia_c)
& refer(leute_1_1,refer_c)
& quant(leute_1_1,one)
& gener(leute_1_1,ge)
& fact(leute_1_1,real)
& etype(leute_1_1,int0)
& card(leute_1_1,int1)
& sort(leute_1_1,d)
& varia(land_2_1,varia_c)
& refer(land_2_1,refer_c)
& quant(land_2_1,one)
& gener(land_2_1,ge)
& fact(land_2_1,real)
& etype(land_2_1,int0)
& card(land_2_1,int1)
& sort(land_2_1,d)
& varia(c459,varia_c)
& refer(c459,refer_c)
& quant(c459,quant_c)
& gener(c459,gener_c)
& fact(c459,real)
& etype(c459,etype_c)
& card(c459,card_c)
& sort(c459,ent)
& varia(gehaltsangabe_1_1,varia_c)
& refer(gehaltsangabe_1_1,refer_c)
& quant(gehaltsangabe_1_1,one)
& gener(gehaltsangabe_1_1,ge)
& fact(gehaltsangabe_1_1,real)
& etype(gehaltsangabe_1_1,int0)
& card(gehaltsangabe_1_1,int1)
& sort(gehaltsangabe_1_1,io)
& sort(gehaltsangabe_1_1,d)
& varia(c332,varia_c)
& refer(c332,refer_c)
& quant(c332,one)
& gener(c332,gener_c)
& fact(c332,real)
& etype(c332,int0)
& card(c332,int1)
& sort(c332,io)
& sort(c332,d)
& varia(landesleute_1_1,varia_c)
& refer(landesleute_1_1,refer_c)
& quant(landesleute_1_1,one)
& gener(landesleute_1_1,ge)
& fact(landesleute_1_1,real)
& etype(landesleute_1_1,int0)
& card(landesleute_1_1,int1)
& sort(landesleute_1_1,d)
& varia(c330,con)
& refer(c330,det)
& quant(c330,all)
& gener(c330,gener_c)
& fact(c330,real)
& etype(c330,int1)
& card(c330,cons(x_constant,cons(int1,nil)))
& sort(c330,d)
& sort(zukunft_in_w__374rde_und_vertrauen_0,fe)
& varia(c324,varia_c)
& refer(c324,refer_c)
& quant(c324,one)
& gener(c324,gener_c)
& fact(c324,real)
& etype(c324,int0)
& card(c324,int1)
& sort(c324,o)
& sort(s__374dafrika_0,fe)
& varia(name_1_1,varia_c)
& refer(name_1_1,refer_c)
& quant(name_1_1,one)
& gener(name_1_1,ge)
& fact(name_1_1,real)
& etype(name_1_1,int0)
& card(name_1_1,int1)
& sort(name_1_1,na)
& varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(c314,varia_c)
& refer(c314,indet)
& quant(c314,one)
& gener(c314,sp)
& fact(c314,real)
& etype(c314,int0)
& card(c314,int1)
& sort(c314,na)
& varia(c313,con)
& refer(c313,det)
& quant(c313,one)
& gener(c313,sp)
& fact(c313,real)
& etype(c313,int0)
& card(c313,int1)
& sort(c313,io)
& sort(c313,d)
& varia(pr__344sident_1_1,varia_c)
& refer(pr__344sident_1_1,refer_c)
& quant(pr__344sident_1_1,one)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& card(pr__344sident_1_1,int1)
& sort(pr__344sident_1_1,d)
& varia(c303,con)
& refer(c303,det)
& quant(c303,one)
& gener(c303,sp)
& fact(c303,real)
& etype(c303,int0)
& card(c303,int1)
& sort(c303,d)
& sort(mandela_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& sort(nelson_0,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c301,varia_c)
& refer(c301,indet)
& quant(c301,one)
& gener(c301,sp)
& fact(c301,real)
& etype(c301,int0)
& card(c301,int1)
& sort(c301,na)
& varia(c296,varia_c)
& refer(c296,indet)
& quant(c296,one)
& gener(c296,sp)
& fact(c296,real)
& etype(c296,int0)
& card(c296,int1)
& sort(c296,na)
& varia(c295,varia_c)
& refer(c295,indet)
& quant(c295,one)
& gener(c295,sp)
& fact(c295,real)
& etype(c295,int0)
& card(c295,int1)
& sort(c295,na)
& varia(c294,con)
& refer(c294,det)
& quant(c294,one)
& gener(c294,sp)
& fact(c294,real)
& etype(c294,int0)
& card(c294,int1)
& sort(c294,d)
& sub(landesleute_1_1,leute_1_1)
& assoc(landesleute_1_1,land_2_1)
& tupl_p7(c459,c294,c294,c303,c324,c330,c332)
& sub(c332,gehaltsangabe_1_1)
& pred(c330,landesleute_1_1)
& name(c324,zukunft_in_w__374rde_und_vertrauen_0)
& val(c314,s__374dafrika_0)
& sub(c314,name_1_1)
& sub(c313,land_1_1)
& attr(c313,c314)
& attch(c313,c303)
& sub(c303,pr__344sident_1_1)
& val(c301,mandela_0)
& sub(c301,familiename_1_1)
& val(c296,mandela_0)
& sub(c296,familiename_1_1)
& val(c295,nelson_0)
& sub(c295,eigenname_1_1)
& sub(c294,mensch_1_1)
& attr(c294,c301)
& attr(c294,c296)
& attr(c294,c295) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10191,plain,
! [X0,X1] : member(X0,cons(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10692,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f159]) ).
fof(f10693,plain,
! [X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(miniscoping,[status(thm)],[f10692]) ).
fof(f10694,plain,
! [X2] :
( ( subs(sK50_skl(X2),hei__337en_1_1)
& arg2(sK50_skl(X2),X2)
& arg1(sK50_skl(X2),X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50_skl]),skolemize(X3,sK50_skl(X2))],[f10693]) ).
fof(f10695,plain,
! [X0,X1,X2] :
( arg1(sK50_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10696,plain,
! [X0,X1,X2] :
( arg2(sK50_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10697,plain,
! [X0,X1,X2] :
( subs(sK50_skl(X0),hei__337en_1_1)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10698,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f160]) ).
fof(f10699,plain,
! [X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(miniscoping,[status(thm)],[f10698]) ).
fof(f10700,plain,
! [X2] :
( ( subs(sK51_skl(X2),stehen_1_b)
& scar(sK51_skl(X2),X2)
& obj(sK51_skl(X2),X2)
& mcont(sK51_skl(X2),X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51_skl]),skolemize(X3,sK51_skl(X2))],[f10699]) ).
fof(f10702,plain,
! [X0,X1,X2] :
( obj(sK51_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10700]) ).
fof(f10705,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f161]) ).
fof(f10706,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,bezeichnen_1_1)
& ? [X4] :
( subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(miniscoping,[status(thm)],[f10705]) ).
fof(f10707,plain,
! [X0,X1,X2] :
( ( subs(sK52_skl(X2,X1,X0),bezeichnen_1_1)
& subr(sK53_skl(X2,X1,X0),rprs_0)
& obj(sK52_skl(X2,X1,X0),X1)
& mcont(sK52_skl(X2,X1,X0),sK53_skl(X2,X1,X0))
& hsit(X0,sK52_skl(X2,X1,X0))
& arg2(sK53_skl(X2,X1,X0),X2)
& arg1(sK53_skl(X2,X1,X0),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl,sK53_skl]),skolemize(X3,sK52_skl(X2,X1,X0)),skolemize(X4,sK53_skl(X2,X1,X0))],[f10706]) ).
fof(f10708,plain,
! [X0,X1,X2] :
( arg1(sK53_skl(X2,X1,X0),X1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10709,plain,
! [X0,X1,X2] :
( arg2(sK53_skl(X2,X1,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( subr(sK53_skl(X2,X1,X0),rprs_0)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f20815,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X6,s__374dafrika_0)
| ~ val(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ obj(X7,X0)
| ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X6] :
( ~ val(X6,s__374dafrika_0)
| ! [X2] :
( ~ val(X2,nelson_0)
| ! [X1] :
( ~ val(X1,mandela_0)
| ! [X3] :
( ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ! [X4] :
( ! [X8] : ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ! [X0] :
( ! [X7] : ~ obj(X7,X0)
| ! [X5] : ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X6,s__374dafrika_0)
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X2,X8)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X7,X1)
| ~ attr(X5,X6)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20818,plain,
attr(c294,c295),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20819,plain,
attr(c294,c296),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20821,plain,
sub(c294,mensch_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
sub(c295,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20823,plain,
val(c295,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
sub(c296,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
val(c296,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
attr(c313,c314),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20832,plain,
sub(c314,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20833,plain,
val(c314,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21051,definition,
! [X0,X1,X2,X3,X4,X7,X8] :
( sQ0_spl
<=> ( ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X8)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X7,X1)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21052,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ0_spl
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X6)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X5,X1)
| ~ attr(X1,X4)
| ~ attr(X1,X3)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21051]) ).
fof(f21054,definition,
! [X5,X6] :
( sQ1_spl
<=> ( ~ val(X6,s__374dafrika_0)
| ~ sub(X6,name_1_1)
| ~ attr(X5,X6) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21055,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ val(X1,s__374dafrika_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21054]) ).
fof(f21057,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21051,f21054]) ).
fof(f21061,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ0_spl
| ~ val(X3,nelson_0)
| ~ val(c296,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,eigenname_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,c296)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(resolution,[status(thm)],[f20824,f21052]) ).
fof(f21063,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ2_spl
<=> ( ~ val(X3,nelson_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,eigenname_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,c296)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21064,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ val(X3,nelson_0)
| ~ subr(X0,rprs_0)
| ~ sub(X2,X5)
| ~ sub(X3,eigenname_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,c296)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21063]) ).
fof(f21066,definition,
( sQ3_spl
<=> val(c296,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f21068,plain,
( sQ3_spl
| ~ val(c296,mandela_0) ),
inference(component_clause,[status(thm)],[f21066]) ).
fof(f21069,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f21061,f21063,f21066,f21051]) ).
fof(f21070,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21068,f20825]) ).
fof(f21071,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f21070]) ).
fof(f21073,plain,
! [X0] :
( ~ sQ1_spl
| ~ val(c314,s__374dafrika_0)
| ~ attr(X0,c314) ),
inference(resolution,[status(thm)],[f20832,f21055]) ).
fof(f21075,definition,
! [X0] :
( sQ4_spl
<=> ~ attr(X0,c314) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f21076,plain,
! [X0] :
( ~ sQ4_spl
| ~ attr(X0,c314) ),
inference(component_clause,[status(thm)],[f21075]) ).
fof(f21078,definition,
( sQ5_spl
<=> val(c314,s__374dafrika_0) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21080,plain,
( sQ5_spl
| ~ val(c314,s__374dafrika_0) ),
inference(component_clause,[status(thm)],[f21078]) ).
fof(f21081,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21073,f21075,f21078,f21054]) ).
fof(f21082,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21080,f20833]) ).
fof(f21083,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f21082]) ).
fof(f21084,plain,
( ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20830,f21076]) ).
fof(f21085,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f21084]) ).
fof(f21087,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ val(X5,nelson_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,X6)
| ~ sub(X5,eigenname_1_1)
| ~ attr(X0,X5)
| ~ attr(X0,c296)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f10702,f21064]) ).
fof(f21092,definition,
( sQ7_spl
<=> val(c295,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f21094,plain,
( sQ7_spl
| ~ val(c295,nelson_0) ),
inference(component_clause,[status(thm)],[f21092]) ).
fof(f21096,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ val(c295,nelson_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,X5)
| ~ attr(X0,c295)
| ~ attr(X0,c296)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f21087,f20822]) ).
fof(f21097,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ8_spl
<=> ( ~ subr(X3,rprs_0)
| ~ sub(X4,X5)
| ~ attr(X0,c295)
| ~ attr(X0,c296)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f21098,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ8_spl
| ~ subr(X3,rprs_0)
| ~ sub(X4,X5)
| ~ attr(X0,c295)
| ~ attr(X0,c296)
| ~ arg2(X3,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21097]) ).
fof(f21100,plain,
( ~ sQ2_spl
| ~ sQ7_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f21096,f21097,f21092,f21063]) ).
fof(f21101,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21094,f20823]) ).
fof(f21102,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f21101]) ).
fof(f21104,definition,
! [X0,X1] :
( sQ9_spl
<=> ( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c294,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f21105,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c294,X0) ),
inference(component_clause,[status(thm)],[f21104]) ).
fof(f21107,definition,
! [X2,X3,X5] :
( sQ10_spl
<=> ( ~ subr(X2,rprs_0)
| ~ sub(X3,X5)
| ~ arg2(X2,X3)
| ~ arg1(X2,c294) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f21108,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ subr(X0,rprs_0)
| ~ sub(X1,X2)
| ~ arg2(X0,X1)
| ~ arg1(X0,c294) ),
inference(component_clause,[status(thm)],[f21107]) ).
fof(f21114,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ8_spl
| ~ subr(X2,rprs_0)
| ~ sub(X3,X4)
| ~ attr(c294,c295)
| ~ arg2(X2,X3)
| ~ arg1(X2,c294)
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c294,X0) ),
inference(resolution,[status(thm)],[f21098,f20819]) ).
fof(f21115,definition,
( sQ12_spl
<=> attr(c294,c295) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f21117,plain,
( sQ12_spl
| ~ attr(c294,c295) ),
inference(component_clause,[status(thm)],[f21115]) ).
fof(f21118,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f21114,f21104,f21107,f21115,f21097]) ).
fof(f21121,definition,
! [X0,X1] :
( sQ13_spl
<=> ( ~ sub(X0,X1)
| ~ arg2(sK50_skl(c294),X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f21122,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ sub(X0,X1)
| ~ arg2(sK50_skl(c294),X0) ),
inference(component_clause,[status(thm)],[f21121]) ).
fof(f21129,plain,
! [X0] :
( ~ sQ9_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c294,X0) ),
inference(resolution,[status(thm)],[f21105,f10191]) ).
fof(f21130,plain,
( ~ sQ9_spl
| ~ attr(c294,c295) ),
inference(resolution,[status(thm)],[f21129,f20822]) ).
fof(f21131,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21130,f20818]) ).
fof(f21132,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f21131]) ).
fof(f21133,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c294,X1)
| ~ sub(c294,X0) ),
inference(resolution,[status(thm)],[f21122,f10696]) ).
fof(f21134,definition,
! [X0] :
( sQ15_spl
<=> ~ sub(c294,X0) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f21135,plain,
! [X0] :
( ~ sQ15_spl
| ~ sub(c294,X0) ),
inference(component_clause,[status(thm)],[f21134]) ).
fof(f21137,plain,
( ~ sQ13_spl
| sQ9_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f21133,f21134,f21104,f21121]) ).
fof(f21138,plain,
( ~ sQ15_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20821,f21135]) ).
fof(f21139,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f21138]) ).
fof(f21511,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ subr(sK53_skl(X1,c294,X0),rprs_0)
| ~ sub(X2,X3)
| ~ arg2(sK53_skl(X1,c294,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c294) ),
inference(resolution,[status(thm)],[f10708,f21108]) ).
fof(f21512,plain,
! [X0,X1,X2,X3] :
( ~ sQ10_spl
| ~ sub(X2,X3)
| ~ arg2(sK53_skl(X1,c294,X0),X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c294) ),
inference(forward_subsumption_resolution,[status(thm)],[f21511,f10713]) ).
fof(f21513,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c294)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c294) ),
inference(resolution,[status(thm)],[f10709,f21512]) ).
fof(f21514,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ sub(X1,X2)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c294) ),
inference(duplicate_literals_removal,[status(thm)],[f21513]) ).
fof(f21564,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ10_spl
| ~ sub(X3,X4)
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X3)
| ~ sub(X1,X2)
| ~ arg2(sK50_skl(X0),X1)
| ~ arg1(sK50_skl(X0),c294) ),
inference(resolution,[status(thm)],[f21514,f10697]) ).
fof(f21566,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ10_spl
| ~ sub(X4,X5)
| ~ member(X5,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c294,X4)
| ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c294,X2)
| ~ sub(X0,X1)
| ~ arg2(sK50_skl(c294),X0) ),
inference(resolution,[status(thm)],[f21564,f10695]) ).
fof(f21567,plain,
( ~ sQ10_spl
| sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f21566,f21121,f21104,f21107]) ).
fof(f21568,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21117,f20818]) ).
fof(f21569,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f21568]) ).
fof(f21570,plain,
$false,
inference(sat_refutation,[status(thm)],[f21057,f21069,f21071,f21081,f21083,f21085,f21100,f21102,f21118,f21132,f21137,f21139,f21567,f21569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR116+42 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/10.45 % Computer : n017.cluster.edu
% 0.16/10.45 % Model : x86_64 x86_64
% 0.16/10.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.45 % Memory : 8046.5625MB
% 0.16/10.45 % OS : Linux 6.8.0-71-generic
% 0.16/10.45 % CPULimit : 300
% 0.16/10.45 % WCLimit : 300
% 0.16/10.45 % DateTime : Mon Sep 21 15:05:08 UTC 2026
% 0.16/10.45 % CPUTime :
% 0.20/10.68 % Drodi V4.1.1
% 46.28/16.52 % Refutation found
% 46.28/16.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 46.28/16.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.83/16.61 % Elapsed time: 6.141882 seconds
% 2.83/16.61 % CPU time: 46.555593 seconds
% 2.83/16.61 % Total memory used: 574.041 MB
% 2.83/16.61 % Net memory used: 552.751 MB
%------------------------------------------------------------------------------